Weighted Logarithmic Sobolev Inequalities for Sub-Gaussian Measures

被引：0
|
作者：
Bin Qian
Zhengliang Zhang
机构：
[1] Changshu Institute of Technology,Department of Mathematics
[2] Fudan University,School of Mathematical Sciences
[3] Wuhan University,Department of Mathematics and Statistics
来源：
Acta Applicandae Mathematicae | 2011年 / 116卷
关键词：
Sub-Gaussian measures; Weighted logarithmic Sobolev inequalities; Bakry-Émery criterion; 60E15; 39B62; 26Dxx;
D O I：
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中图分类号：
学科分类号：
摘要：
In this short paper, We establish the weighted Logarithmic Sobolev inequalities for sub-Gaussian measure of high dimension with explicit constants via phase transition and the well-known Bakry-Émery criterion.
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